Hostname: page-component-745bb68f8f-b6zl4 Total loading time: 0 Render date: 2025-01-26T22:13:52.520Z Has data issue: false hasContentIssue false
  • English
  • Français

Hydroelastic response of floating elastic discs to regular waves. Part 1. Wave basin experiments

Published online by Cambridge University Press:  16 April 2013

F. Montiel ,
F. Bonnefoy ,
P. Ferrant ,
L. G. Bennetts ,
V. A. Squire  and
P. Marsault
F. Montiel*
Affiliation:
Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin 9054, New Zealand
F. Bonnefoy
Affiliation:
Laboratoire de recherche en Hydrodynamique, Énergétique et Environnement Atmosphérique, École Centrale de Nantes, 1 rue de la Noë, Nantes, France
P. Ferrant
Affiliation:
Laboratoire de recherche en Hydrodynamique, Énergétique et Environnement Atmosphérique, École Centrale de Nantes, 1 rue de la Noë, Nantes, France
L. G. Bennetts
Affiliation:
School of Mathematical Sciences, University of Adelaide, Adelaide, South Australia 5005, Australia
V. A. Squire
Affiliation:
Department of Mathematics and Statistics, University of Otago, P.O. Box 56, Dunedin 9054, New Zealand
P. Marsault
Affiliation:
Lycée François-Philibert Dessaignes, 12 rue Dessaignes, 41000 Blois, France
*
†Email address for correspondence: fmontiel@maths.otago.ac.nz
Get access Rights & Permissions [Opens in a new window]

Abstract

A series of wave basin experiments is reported that investigates the flexural response of one or two floating thin elastic discs to monochromatic waves. The work is motivated by numerical model validation. Innovative techniques are used to ensure the experimental configuration is consistent with the model. This demands linear motions, time-harmonic conditions, homogeneity of the plate and the restriction of horizontal motions of the disc or discs. An optical remote sensing device is employed to record the deflection of the discs accurately. Tests involving a single disc and two discs are conducted for a range of disc thicknesses, incident wave steepnesses, frequencies and, in the case of two discs, geometrical arrangements. A data processing technique is used to decompose the raw data into its spectral harmonics and filter the higher-order components. Pointwise comparisons of the linear first-order component of the experimental deflection with numerical predictions are presented. Satisfying agreement is found, although the model consistently over predicts the deflection. Disc–disc interactions are observed in the two-disc tests. A brief discussion of the shortcomings of the pointwise analysis, with associated possible sources of discrepancy, provides a link to the study reported in Part 2 (Montiel et al. J. Fluid Mech., vol. 723, 2013, pp. 629–652).

JFM classification

Waves/Free-surface Flows: Wave scattering Waves/Free-surface Flows: Waves/Free-surface Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 723 , 25 May 2013 , pp. 604 - 628
Copyright
©2013 Cambridge University Press 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Allen, J. B. & Rabiner, L. R. 1977 A unified approach to short-time Fourier analysis and synthesis. Proc. IEEE 65, 1558–1564.CrossRefGoogle Scholar
Andrianov, A. I. & Hermans, A. J. 2005 Hydroelasticity of a circular plate on water of finite or infinite depth. J. Fluids Struct. 20, 719–733.CrossRefGoogle Scholar
Bishop, R. E. D. & Price, W. G. 1979 Hydroelasticity of Ships. Cambridge University Press.Google Scholar
Chen, X., Wu, Y., Cui, W. & Jensen, J. J. 2006 Review of hydroelasticity theories for global response of marine structures. Ocean Engng 33, 439–457.CrossRefGoogle Scholar
Chu, E. 2008 Discrete and Continuous Fourier Transforms: Analysis, Applications and Fast Algoritthms. Chapman & Hall/CRC.CrossRefGoogle Scholar
Cohen, L. 1989 Time-frequency distributions–a review. Proc. IEEE 77, 941–981.CrossRefGoogle Scholar
Faltinsen, O. M. & Timokha, A. N. 2009 Sloshing. Cambridge University Press.Google Scholar
Hirdaris, S. E. & Temarel, P. 2009 Hydroelasticity of ships: Recent advances and future trends. J. Eng. Marit. Environ. 223, 305–330.Google Scholar
Kagemoto, H., Fujino, M. & Murai, M. 1998 Theoretical and experimental predictions of the hydroelastic response of a very large floating structure in waves. Appl. Ocean Res. 20, 135–144.CrossRefGoogle Scholar
Kagemoto, H. & Yue, D. K. P. 1986 Interactions among multiple three-dimensional bodies in water waves: an exact algebraic method. J. Fluid Mech. 166, 189–209.CrossRefGoogle Scholar
Kohout, A. L., Meylan, M. H., Sakai, S., Hanai, K., Leman, P. & Brossard, D. 2007 Linear water wave propagation through multiple floating elastic plates of variable properties. J. Fluids Struct. 23, 643–649.CrossRefGoogle Scholar
Langhorne, P. J., Squire, V. A., Fox, C. & Haskell, T. G. 1998 Break-up of sea ice by ocean waves. Ann. Glaciol. 27, 438–442.CrossRefGoogle Scholar
Love, A. E. H. 1944 A Treatise on the Mathematical Theory of Elasticity. Dover.Google Scholar
Marsault, P. 2010 Étude des interactions houle/glace de mer. Master’s thesis, École Centrale de Nantes (in French).Google Scholar
Meylan, M. H. 1994 The behaviour of sea ice in ocean waves. PhD thesis, University of Otago.Google Scholar
Meylan, M. H. & Squire, V. A. 1996 Response of a circular ice floe to ocean waves. J. Geophys. Res. 101, 8869–8884.CrossRefGoogle Scholar
Montiel, F. 2012, Numerical and experimental analysis of water wave scattering by floating elastic plates. PhD thesis, University of Otago.Google Scholar
Montiel, F., Bennetts, L. G., Squire, V. A., Bonnefoy, F. & Ferrant, P. 2013 Hydroelastic response of floating elastic discs to regular waves. Part 2. Modal analysis. J. Fluid Mech. 723, 629–652.CrossRefGoogle Scholar
Ohmatsu, S. 2008 Model experiments for VLFS. In Very Large Floating Structures (ed. Wang, C. M., Watanabe, E. & Utsonomiya, T.). pp. 141–164, Spon Research., chapter 7.Google Scholar
Peter, M. A., Meylan, M. H. & Chung, H. 2003 Wave scattering by a circular plate in water of finite depth: a closed form solution. In Proceedings of the 13th International Offshore and Polar Engineering Conference, pp. 180–185. The International Society of Offshore and Polar Engineers.Google Scholar
Sakai, S. & Hanai, K. 2002 Empirical formula of dispersion relation of waves in sea ice. In Ice in the Environment: Proceedings of the 16th IAHR International Symposium on Ice, pp. 327–335. The International Association of Hydraulic Engineering and Research.Google Scholar
Squire, V. A. 1984 A theoretical, laboratory, and field study of ice-coupled waves. J. Geophys. Res. 89, 8069–8079.CrossRefGoogle Scholar
Squire, V. A. 2007 Of ocean waves and sea-ice revisited. Cold Reg. Sci. Technol. 49, 110–133.CrossRefGoogle Scholar
Squire, V. A. 2008 Synergies between VLFS hydroelasticity and sea ice research. Intl. J. Offshore Polar Engng 18, 241–253.Google Scholar
Squire, V. A. 2011 Past, present and impendent hydroelastic challenges in the polar and subpolar seas. Phil. Trans. R. Soc. A 369, 2813–2831.CrossRefGoogle ScholarPubMed
Suzuki, H. 2005 Overview of megafloat: Concept, design criteria, analysis, and design. Mar. Struct. 18, 111–132.CrossRefGoogle Scholar
Ten, I., Malenica, Š & Korobkin, A. 2011 Semi-analytical models of hydroelastic sloshing impact in tanks of liquefied natural gas vessels. Philos. Trans. R. Soc. A 369, 2920–2941.CrossRefGoogle ScholarPubMed
Toyota, T., Haas, C. & Tamura, T. 2011 Size distribution and shape properties of relatively small sea-ice floes in the Antarctic marginal ice zone in late winter. Deep-Sea Res. Pt. II 58, 1182–1193.CrossRefGoogle Scholar
Utsunomiya, T., Watanabe, E., Wu, C., Hayashi, N., Nakai, K. & Sekita, K. 1995 Wave response analysis of a flexible floating structure by BE-FE combination method. In Proceedings of Fifth International Offshore and Polar Engineering Conference, pp. 400–405. The International Society of Offshore and Polar Engineers.Google Scholar
Wang, C. M., Tay, Z. Y., Takagi, K. & Utsunomiya, T. 2010 Literature review of methods for mitigating hydroelastic response of VLFS under wave action. Appl. Mech. Rev. 63, 030802.CrossRefGoogle Scholar
Watanabe, E., Utsunomiya, T. & Wang, C. M. 2004 Hydroelastic analysis of pontoon-type VLFS: a literature survey. Eng. Struct. 26, 245–256.CrossRefGoogle Scholar
Wehausen, J. V. 1971 The motion of floating bodies. Annu. Rev. Fluid Mech. 3, 237–268.CrossRefGoogle Scholar
Wu, Y. & Cui, W. 2009 Advances in the three-dimensional hydroelasticity of ships. J. Eng. Marit. Environ. 223, 331–348.Google Scholar
Yago, K. & Endo, H. 1996 On the hydroelastic response of box-shaped floating structure with shallow draft. J. Soc. Nav. Arch. Japan 180, 341–352, (in Japanese).CrossRefGoogle Scholar